Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics
In the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates. However, spacetime noncommutativity can also be introduced in...
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/4042314 |
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| author | Alessandro Moia |
| author_facet | Alessandro Moia |
| author_sort | Alessandro Moia |
| collection | DOAJ |
| description | In the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates. However, spacetime noncommutativity can also be introduced into single-particle covariant quantum mechanics, replacing the commuting operators representing the particle’s spacetime coordinates with noncommuting ones. In this paper, we provide a full characterization of a wide class of physically sensible single-particle noncommutative spacetime models and the associated deformed relativistic symmetries. In particular, we prove that they can all be obtained from the standard Minkowski model and the usual Poincaré transformations via a suitable change of variables. Contrary to previous studies, we find that spacetime noncommutativity does not affect the dispersion relation of a relativistic quantum particle, but only the transformation properties of its spacetime coordinates under translations and Lorentz transformations. |
| format | Article |
| id | doaj-art-2037b950e93049fda61497d5ec025a1b |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-2037b950e93049fda61497d5ec025a1b2025-02-03T01:10:50ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/40423144042314Noncommutative Spacetime Symmetries from Covariant Quantum MechanicsAlessandro Moia0Dipartimento di Fisica, Università “La Sapienza”, Piazzale Aldo Moro 2, 00185 Roma, ItalyIn the last decades, noncommutative spacetimes and their deformed relativistic symmetries have usually been studied in the context of field theory, replacing the ordinary Minkowski background with an algebra of noncommutative coordinates. However, spacetime noncommutativity can also be introduced into single-particle covariant quantum mechanics, replacing the commuting operators representing the particle’s spacetime coordinates with noncommuting ones. In this paper, we provide a full characterization of a wide class of physically sensible single-particle noncommutative spacetime models and the associated deformed relativistic symmetries. In particular, we prove that they can all be obtained from the standard Minkowski model and the usual Poincaré transformations via a suitable change of variables. Contrary to previous studies, we find that spacetime noncommutativity does not affect the dispersion relation of a relativistic quantum particle, but only the transformation properties of its spacetime coordinates under translations and Lorentz transformations.http://dx.doi.org/10.1155/2017/4042314 |
| spellingShingle | Alessandro Moia Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics Advances in High Energy Physics |
| title | Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics |
| title_full | Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics |
| title_fullStr | Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics |
| title_full_unstemmed | Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics |
| title_short | Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics |
| title_sort | noncommutative spacetime symmetries from covariant quantum mechanics |
| url | http://dx.doi.org/10.1155/2017/4042314 |
| work_keys_str_mv | AT alessandromoia noncommutativespacetimesymmetriesfromcovariantquantummechanics |